Dynamical Behavior of the Stochastic Delay Mutualism System
We discuss the dynamical behavior of the stochastic delay three-specie mutualism system. We develop the technique for stochastic differential equations to deal with the asymptotic property. Using it we obtain the existence of the unique positive solution, the asymptotic properties, and the nonpersis...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/781394 |
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| _version_ | 1850223604297367552 |
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| author | Peiyan Xia Daqing Jiang Xiaoyue Li |
| author_facet | Peiyan Xia Daqing Jiang Xiaoyue Li |
| author_sort | Peiyan Xia |
| collection | DOAJ |
| description | We discuss the dynamical behavior of the stochastic delay three-specie mutualism system. We develop the technique for stochastic differential equations to deal with the asymptotic property. Using it we obtain the existence of the unique positive solution, the asymptotic properties, and the nonpersistence. Finally, we give the numerical examinations to illustrate our results. |
| format | Article |
| id | doaj-art-494ae9ee63014377b8695c722c0fe7da |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-494ae9ee63014377b8695c722c0fe7da2025-08-20T02:05:52ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/781394781394Dynamical Behavior of the Stochastic Delay Mutualism SystemPeiyan Xia0Daqing Jiang1Xiaoyue Li2School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, ChinaSchool of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, ChinaWe discuss the dynamical behavior of the stochastic delay three-specie mutualism system. We develop the technique for stochastic differential equations to deal with the asymptotic property. Using it we obtain the existence of the unique positive solution, the asymptotic properties, and the nonpersistence. Finally, we give the numerical examinations to illustrate our results.http://dx.doi.org/10.1155/2014/781394 |
| spellingShingle | Peiyan Xia Daqing Jiang Xiaoyue Li Dynamical Behavior of the Stochastic Delay Mutualism System Abstract and Applied Analysis |
| title | Dynamical Behavior of the Stochastic Delay Mutualism System |
| title_full | Dynamical Behavior of the Stochastic Delay Mutualism System |
| title_fullStr | Dynamical Behavior of the Stochastic Delay Mutualism System |
| title_full_unstemmed | Dynamical Behavior of the Stochastic Delay Mutualism System |
| title_short | Dynamical Behavior of the Stochastic Delay Mutualism System |
| title_sort | dynamical behavior of the stochastic delay mutualism system |
| url | http://dx.doi.org/10.1155/2014/781394 |
| work_keys_str_mv | AT peiyanxia dynamicalbehaviorofthestochasticdelaymutualismsystem AT daqingjiang dynamicalbehaviorofthestochasticdelaymutualismsystem AT xiaoyueli dynamicalbehaviorofthestochasticdelaymutualismsystem |